Answer:
<em>Part A </em>C = (10,5)<em> Part B </em>C. D'(0,10)
Step-by-step explanation:
<em>Part A</em>
Since c is at the point (2,1) in relation to the origin, we can multiply those distances by our scale factor of 5
(2,1) * 5 = (10,5)
The new point C is going to be (10,5)
<em>Part B</em>
If you dilate with a factor of 5 -- relative to the origin -- you have to multiply the distance from <em>the origin</em> by 5.
In this case, point D is already on the y axis, so it's x value wouldn't be affected. Point D is currently 2 units away from (0,0), so we can multiply 2*5 to get 10 -- our ending point is (0,10)
Answer:
Inequalities are,
y ≥ 4x + 2
y ≥ 2
Step-by-step explanation:
Solid yellow line of the graph attached passes through two points (0, -2) and (1, 2).
Let the equation of this line is,
y = mx + b
Slope of the line = 
m = 
m = 4
Y-intercept 'b' = -2
Equation of the line will be,
y = 4x - 2
Since shaded area is on the left side of this solid line so the inequality representing this region will be,
y ≥ 4x - 2
Another line is a solid blue line parallel to the x-axis.
Shaded region (blue) above the line will be represented by,
y ≥ 2
Therefore, the common shaded area of these inequalities will be the solution of the given inequalities.
Answer:
<h2>621.207km</h2>
Step-by-step explanation:
We are expected to convert from miles to kilometer
first day 85 miles =136.794km
Second day 125 mile=201.168km
third day 176 miles =283.245km
Total distance covered is
136.794km+201.168km+283.245km=621.207km
Therefore the total distance in kilometer is 621.207km
Answer:
-36m + 900 < 44m + 100
Step-by-step explanation:
Given that:
The first barrel contains 900 liters of the solution; &
The second barrel contains 100 liters of solution.
So, Laura drains the first barrel at the rate of 36 liters/ min
Since Laura is draining the solution in the first barrel;
Then; we have - 36m + 900 litres
Also; Laura fills the second barrel at a rate of 44 liters per minute.
Since Laura is filling the barrel; we have: 44m + 100
Therefore; the inequality representing when the second barrel contains a greater or equal amount of solution than the first barrel can be expressed as:
- 36m + 900 < 44m + 100
Answer:
a. 9 pounds of broccoli and 1 pound of zucchini
b. 7lbs broccoli and 2 lbs of zucchini
c. 6lbs zucchini and 4lbs broccoli.
Step-by-step explanation:
a. well just come up with 2 numbers that equal up to 10 so yea.
b. 7lbs broccoli 2 lbs of zucchini - this is 9 lbs of veggies but it costs 17 dollars because (7*2)+(2*1.50)=17
14+3=17 (the 7 and 2 is the amount of pounds of veggies and the 2 and 1.50 are the prices)
c. it would be 6 lbs of zucchini and 4 lbs of broccoli because 6+4=10 and (6*1.50)+(4*2)=17
